3833055840 has 96 divisors (see below), whose sum is σ = 12148448256. Its totient is φ = 1015856640.

The previous prime is 3833055833. The next prime is 3833055857. The reversal of 3833055840 is 485503383.

3833055840 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53745 + ... + 102735.

It is an arithmetic number, because the mean of its divisors is an integer number (126546336).

Almost surely, 2^3833055840 is an apocalyptic number.

3833055840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3833055840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6074224128).

3833055840 is an abundant number, since it is smaller than the sum of its proper divisors (8315392416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3833055840 is a wasteful number, since it uses less digits than its factorization.

3833055840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49172 (or 49164 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 3833055840 is about 61911.6777353029. The cubic root of 3833055840 is about 1565.0025470601.

The spelling of 3833055840 in words is "three billion, eight hundred thirty-three million, fifty-five thousand, eight hundred forty".